the LCM of two numbers is 4182. if the two numbers are 82 and 102, find HCF

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Solution

$We know that, L . C . M \times H . C . F . = Product of two numbers \Rightarrow 4182 \times H . C . F . = 82 \times 102 \Rightarrow H . C . F . = \frac{82 \times 102}{4182} \Rightarrow H . C . F . = 2$

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